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Finding the Third Proportional to 714,410 and 1,088,363

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Solution

The third proportional to 714,410 and 1,088,363 is: 1,658,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,410 : 1,088,363 = 1,088,363 : x
  2. Step 2: Convert to fraction form
    714,410/1,088,363 = 1,088,363/x
  3. Step 3: Cross multiply
    714,410x = 1,088,363 × 1,088,363
  4. Step 4: Simplify right side
    714,410x = 1,184,534,019,769
  5. Step 5: Solve for x
    x = 1,184,534,019,769/714,410
  6. Step 6: Final answer
    x = 1,658,059.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.